The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X X^2  1  1  1  1  1  1  1  1  1  1  X  1  1  1  0  0  0  X  1  X
 0  X  0  0  0  X X^2+X  X  0 X^2  X X^2+X  0 X^2  X  X X^2  0 X^2+X X^2+X X^2+X X^2 X^2 X^2  X X^2  X  0  X  X X^2  X X^2 X^2 X^2  X  0 X^2
 0  0  X  0  X  X  X X^2  0 X^2 X^2+X X^2+X  X  X X^2 X^2 X^2+X  X X^2+X  X  X X^2  0  0  0 X^2+X X^2+X X^2+X X^2  0  X  0 X^2  0  0 X^2+X X^2  0
 0  0  0  X  X X^2 X^2+X X^2+X  0 X^2+X X^2 X^2+X  X  0  X  0  X X^2+X  0 X^2  X X^2  0 X^2+X X^2  0  X X^2  X  X  X  0  X  X  X  0 X^2+X  X
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+54x^33+98x^34+86x^35+100x^36+130x^37+123x^38+114x^39+121x^40+82x^41+32x^42+28x^43+29x^44+6x^45+3x^46+10x^47+4x^48+2x^51+1x^60

The gray image is a linear code over GF(2) with n=152, k=10 and d=66.
This code was found by Heurico 1.16 in 2.5 seconds.